Theory of p+ip Superfluids and the Super Efimov Effect

Two-dimensional fermionic chiral superfluidity and superconductivity is an active area of experimental and theoretical research in condensed matter physics. It is of interest in diverse fields such as the physics of 3He, quantum Hall physics, unconventional superconductivity and topological quantum computing. In this talk I will introduce the theory of unconventional chiral two-dimensional pairing and talk about our hydrodynamic effective theory of a chiral p+ip superfluid at zero temperature. It naturally incorporates the parity and time reversal violating effects such as the Hall viscosity and the edge current. I will also show how a chiral p+ip superfluid can be put on a sphere. If time permits, I will also describe the few-body aspects of this problem and introduce the super Efimov effect- a new type of three-body quantum universality manifesting itself in a tower of three-body bound states with a double-exponential scaling.